Newbetuts
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New posts in ring-theory
Integral domain with a finitely generated non-zero injective module is a field
abstract-algebra
ring-theory
commutative-algebra
modules
injective-module
Relationship between trivial Brauer group and commutative division algebras
abstract-algebra
ring-theory
division-algebras
brauer-group
Does "zero dimensional domains are fields" require the Boolean Prime Ideal theorem?
abstract-algebra
ring-theory
axiom-of-choice
maximal-and-prime-ideals
Generalizing the natural numbers - has this been studied before?
abstract-algebra
reference-request
ring-theory
Quotients of $\mathbb{Z}[i]$
ring-theory
arithmetic
If $R[x]$ and $R[[x]]$ are isomorphic, then are they isomorphic to $R$ as well? [duplicate]
polynomials
ring-theory
commutative-algebra
examples-counterexamples
formal-power-series
Suppose $I\oplus K$ is a free module, then "$KI\subseteq K\cap I$"
abstract-algebra
ring-theory
modules
$\Bbb Z/2$ is the only Boolean ring that is an integral domain
abstract-algebra
ring-theory
Number of units in a commutative ring
abstract-algebra
ring-theory
Characteristic of a finite ring with $34$ units
abstract-algebra
commutative-algebra
ring-theory
totient-function
positive-characteristic
Rings that are isomorphic to the endomorphism ring of their additive group.
abstract-algebra
ring-theory
Neat way to find the kernel of a ring homomorphism
abstract-algebra
ring-theory
commutative-algebra
ideals
Nonconstant polynomials have a composite value in a UFD with finitely many units
ring-theory
pigeonhole-principle
unique-factorization-domains
Proof that $\mathbb{Z}$ has no zero divisors
abstract-algebra
commutative-algebra
ring-theory
divisibility
inverse
Minimal systems of generators for finitely generated algebras over commutative (graded) rings
ring-theory
commutative-algebra
graded-rings
Is there a name for this ring-like object?
abstract-algebra
ring-theory
terminology
rngs
Zero divisors in matrix rings [closed]
abstract-algebra
matrices
ring-theory
noncommutative-algebra
A graded ring $R$ is graded-local iff $R_0$ is a local ring?
abstract-algebra
ring-theory
noncommutative-algebra
Homomorphisms and automorphisms on polynomial rings
abstract-algebra
ring-theory
linear-transformations
ring-homomorphism
polynomial-rings
Interview preparation for Ph.D admission
abstract-algebra
general-topology
group-theory
ring-theory
galois-theory
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